7 citations · 7 across the 1 of their papers we have counts for
7 papers
The Topological Classification of Minimal Surfaces in R^3
Charles Frohman, William H. Meeks
We give a complete topological classification of minimal surfaces in Euclidian three-space.
The Kauffman bracket skein as an algebra of observables
D. Bullock, C. Frohman, J. Kania-Bartoszynska
We prove that the Kauffman bracket skein algebra of a cylinder over a surface with boundary, defined over complex numbers, is isomorphic to the observables of an appropriate lattic…
A matrix model for quantum SL_2
C. Frohman, J. Kania-Bartoszynska
We describe a topological ribbon Hopf algebra whose elements are sequences of matrices. The algebra is a quantum version of U(sl_2).
The Yang-Mills Measure in the Kauffman Bracket Skein Module
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
For each closed, orientable surface F, we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module K_t(F x [0,1]). The trace is defined when |t| is ne…
Quantum Obstruction Theory
Charles Frohman, Joanna Kania-Bartoszynska
We use topological quantum field theory to derive an invariant of a three-manifold with boundary. We then show how to use this invariant as an obstruction to embedding one three-ma…
The A-polynomial from the noncommutative viewpoint
Charles Frohman, Razvan Gelca, Walter Lofaro
We develop an invariant of knots that depends on a complex parameter t, describing a left ideal in the noncommutative torus. When the parameter is set equal to -1 we recover the A-…